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Simplifying 15m + -1(3m + 12) = 24(m + 1) Reorder the terms: 15m + -1(12 + 3m) = 24(m + 1) 15m + (12 * -1 + 3m * -1) = 24(m + 1) 15m + (-12 + -3m) = 24(m + 1) Reorder the terms: -12 + 15m + -3m = 24(m + 1) Combine like terms: 15m + -3m = 12m -12 + 12m = 24(m + 1) Reorder the terms: -12 + 12m = 24(1 + m) -12 + 12m = (1 * 24 + m * 24) -12 + 12m = (24 + 24m) Solving -12 + 12m = 24 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -12 + 12m + -24m = 24 + 24m + -24m Combine like terms: 12m + -24m = -12m -12 + -12m = 24 + 24m + -24m Combine like terms: 24m + -24m = 0 -12 + -12m = 24 + 0 -12 + -12m = 24 Add '12' to each side of the equation. -12 + 12 + -12m = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -12m = 24 + 12 -12m = 24 + 12 Combine like terms: 24 + 12 = 36 -12m = 36 Divide each side by '-12'. m = -3 Simplifying m = -3
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